Answer:
[tex]y = \frac{11}{8}x + 50[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
The line of best fit
From the attached plot, we have:
[tex](x_1,y_1) = (0,50)[/tex]
[tex](x_2,y_2) = (80,160)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{160 - 50}{80-0}[/tex]
[tex]m = \frac{110}{80}[/tex]
[tex]m = \frac{11}{8}[/tex]
The line of best fit is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{11}{8}(x - 0) + 50[/tex]
[tex]y = \frac{11}{8}x + 50[/tex]
